Search a number
-
+
22420404020 = 22572921091747
BaseRepresentation
bin10100111000010111…
…000011011100110100
32010212111221112101002
4110320113003130310
5331404110412040
614144431022432
71422412201250
oct247027033464
963774845332
1022420404020
119565808423
12441866aa18
132163c88871
141129937260
158b34c2a15
hex5385c3734

22420404020 has 144 divisors (see below), whose sum is σ = 56271895680. Its totient is φ = 7349626368.

The previous prime is 22420404011. The next prime is 22420404037. The reversal of 22420404020 is 2040402422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22420403983 and 22420404001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12832787 + ... + 12834533.

Almost surely, 222420404020 is an apocalyptic number.

22420404020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28135947840).

22420404020 is an abundant number, since it is smaller than the sum of its proper divisors (33851491660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22420404020 is a wasteful number, since it uses less digits than its factorization.

22420404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22420404020 its reverse (2040402422), we get a palindrome (24460806442).

The spelling of 22420404020 in words is "twenty-two billion, four hundred twenty million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 109 116 140 145 203 218 290 406 436 545 580 763 812 841 1015 1090 1526 1682 1747 2030 2180 3052 3161 3364 3494 3815 4060 4205 5887 6322 6988 7630 8410 8735 11774 12229 12644 15260 15805 16820 17470 22127 23548 24458 29435 31610 34940 44254 48916 50663 58870 61145 63220 88508 91669 101326 110635 117740 122290 183338 190423 202652 221270 244580 253315 354641 366676 380846 442540 458345 506630 641683 709282 761692 916690 952115 1013260 1283366 1332961 1418564 1469227 1773205 1833380 1904230 2566732 2665922 2938454 3208415 3546410 3808460 5331844 5522267 5876908 6416830 6664805 7092820 7346135 10284589 11044534 12833660 13329610 14692270 20569178 22089068 26659220 27611335 29384540 38655869 41138356 51422945 55222670 77311738 102845890 110445340 154623476 160145743 193279345 205691780 320291486 386558690 640582972 773117380 800728715 1121020201 1601457430 2242040402 3202914860 4484080804 5605101005 11210202010 22420404020